AN ANALYSIS OF M/M/1 QUEUEING MODEL IN A TOLLGATE USING MONTE CARLO SIMULATION

Author (s) : Dr.P.Umarani, T.Sakthivel, B.Priya, A.Malar selvi

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Abstract :
In this research paper, the focus lies on analyzing the waiting time experienced by customers at the Tollgate and the length of the customer queue. To achieve this, the researchers employ the Monte Carlo Simulation method, a powerful and widely used technique for modeling complex systems. By using this simulation approach, they can effectively approximate the dynamic behavior of the Tollgate system and understand the variability in waiting times and queue lengths. To ensure the reliability of the simulation model, the goodness of fit for distributions is rigorously examined through the Chi-square test, specifically testing for uniform distribution. This step validates the appropriateness of the chosen distributions in representing the arrival and service patterns at the Tollgate.Furthermore, the study includes a comparison between the simulation results and those obtained through Analytical methods. This comparative analysis serves to establish the accuracy and credibility of the Monte Carlo Simulation, showcasing its effectiveness in capturing real-world scenarios. The research paper presents numerical examples that further illustrate the model's accuracy and its ability to offer valuable insights into the Tollgate system's performance. Such findings hold significant implications for Tollgate management and could lead to the implementation of improved strategies to minimize waiting times and enhance customer satisfaction.

Keywords : Inter-arrival Time, Service time, Waiting time, Chi-square test, M/M/1 queueing model, Monte Carlo Simulation, Queue length

Conference Date : 13/11/2020

Pages : 33

Paper ID : 20033